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Finding the Fourth Proportional to 839.05, 1,258.40 and 291.38

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Solution

The fourth proportional to 839.05, 1,258.40 and 291.38 is: 437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.05 : 1,258.40 = 291.38 : x
  2. Step 2: Convert to fraction form
    839.05/1,258.40 = 291.38/x
  3. Step 3: Cross multiply
    839.05x = 1,258.40 × 291.38
  4. Step 4: Simplify right side
    839.05x = 366,667.03
  5. Step 5: Solve for x
    x = 366,667.03/839.05
  6. Step 6: Final answer
    x = 437.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.